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Simplifying 4(w + -5) + -8 = -6(-4w + 3) + -8w Reorder the terms: 4(-5 + w) + -8 = -6(-4w + 3) + -8w (-5 * 4 + w * 4) + -8 = -6(-4w + 3) + -8w (-20 + 4w) + -8 = -6(-4w + 3) + -8w Reorder the terms: -20 + -8 + 4w = -6(-4w + 3) + -8w Combine like terms: -20 + -8 = -28 -28 + 4w = -6(-4w + 3) + -8w Reorder the terms: -28 + 4w = -6(3 + -4w) + -8w -28 + 4w = (3 * -6 + -4w * -6) + -8w -28 + 4w = (-18 + 24w) + -8w Combine like terms: 24w + -8w = 16w -28 + 4w = -18 + 16w Solving -28 + 4w = -18 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -28 + 4w + -16w = -18 + 16w + -16w Combine like terms: 4w + -16w = -12w -28 + -12w = -18 + 16w + -16w Combine like terms: 16w + -16w = 0 -28 + -12w = -18 + 0 -28 + -12w = -18 Add '28' to each side of the equation. -28 + 28 + -12w = -18 + 28 Combine like terms: -28 + 28 = 0 0 + -12w = -18 + 28 -12w = -18 + 28 Combine like terms: -18 + 28 = 10 -12w = 10 Divide each side by '-12'. w = -0.8333333333 Simplifying w = -0.8333333333
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